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Probability: a graduate course/ Allan Gut

By: Material type: TextTextLanguage: English Series: Springer Texts in StatisticsPublication details: New York: Springer, 2013Edition: 2ndDescription: xxv, 600 pages; 24 cmISBN:
  • 9781461447078
Subject(s): DDC classification:
  • 23rd. 519.2 G983
Contents:
Introductory Measure Theory -- Random Variables -- Inequalities -- Characteristic Functions -- Convergence -- The Law of Large Numbers -- The Central Limit Theorem -- The Law of the Iterated Logarithm -- Limit Theorems Extensions and Generalizations -- Martingales
Summary: Like its predecessor, this book starts from the premise that, rather than being a purely mathematical discipline, probability theory is an intimate companion of statistics. The book starts with the basic tools, and goes on to cover a number of subjects in detail, including chapters on inequalities, characteristic functions and convergence. This is followed by a thorough treatment of the three main subjects in probability theory: the law of large numbers, the central limit theorem, and the law of the iterated logarithm. After a discussion of generalizations and extensions, the book concludes with an extensive chapter on martingales. The new edition is comprehensively updated, including some new material as well as around a dozen new references.
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Holdings
Item type Current library Call number Status Notes Date due Barcode Item holds
Books ISI Library, Kolkata 519.2 G983 (Browse shelf(Opens below)) Available Gifted by Prof. Ashis Kumar Chakraborty C27552
Books ISI Library, Kolkata 519.2 G983 (Browse shelf(Opens below)) Available 134024
Total holds: 0

Includes index and references

Introductory Measure Theory -- Random Variables -- Inequalities -- Characteristic Functions -- Convergence -- The Law of Large Numbers -- The Central Limit Theorem -- The Law of the Iterated Logarithm -- Limit Theorems Extensions and Generalizations -- Martingales

Like its predecessor, this book starts from the premise that, rather than being a purely mathematical discipline, probability theory is an intimate companion of statistics. The book starts with the basic tools, and goes on to cover a number of subjects in detail, including chapters on inequalities, characteristic functions and convergence. This is followed by a thorough treatment of the three main subjects in probability theory: the law of large numbers, the central limit theorem, and the law of the iterated logarithm. After a discussion of generalizations and extensions, the book concludes with an extensive chapter on martingales. The new edition is comprehensively updated, including some new material as well as around a dozen new references.

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